---
title: "Line coding 1001101101 (unipolar NRZ, polar RZ, AMI, Manchester)"
subject: "Communication Systems"
chapter: 6
key: "semester_6/communication_systems:line-codes-1001101101"
source: https://www.bctengineer.com/q/semester_6/communication_systems/line-codes-1001101101
site: BCT Engineering
---

# Line coding 1001101101 (unipolar NRZ, polar RZ, AMI, Manchester)

Communication Systems · Chapter 6: Baseband Digital Data Transmission

- Asked in: 2081 Bhadra (CS II), 1.5+1.5+1.5+1.5 marks
- Video: [Line coding in digital communication- Polar, Unipolar, Bipolar, RZ ,NRZ in simple way | HINDI](https://www.youtube.com/watch?v=rHPa0VU27l0) — Electronics Subjectified
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_6/communication_systems/line-codes-1001101101
- Whole chapter: https://www.bctengineer.com/md/semester_6/communication_systems/chapter-6

## Question

Represent given binary sequence 1001101101 in unipolar NRZ, polar RZ, AMI, and Manchester codes.

## Short answer

For 1001101101: Unipolar NRZ: 1→+V full bit, 0→0 V. Polar RZ: 1→+V half-bit then 0, 0→-V half-bit then 0. AMI: 0→0 V, 1s alternate +V,-V starting +V. Manchester: 1→+V then -V, 0→-V then +V, with mid-bit transition.

## Answer

Bit sequence: **1 0 0 1 1 0 1 1 0 1**, bit period $T_b$, levels $\pm V$.

#### Unipolar NRZ
1 → +V for the full bit, 0 → 0 V.

**Unipolar NRZ**

```text
    1   0   0   1   1   0   1   1   0   1  
+V ────|       |───────|   |───────|   |───
 0     |───────|       |───|       |───|   
```

#### Polar RZ
1 → +V for half the bit, 0 → −V for half the bit, then 0.

**Polar RZ**

```text
    1   0   0   1   1   0   1   1   0   1  
+V ──|         |─| |─|     |─| |─|     |─| 
 0   |─| |─| |─| |─| |─| |─| |─| |─| |─| |─
-V     |─| |─|         |─|         |─|     
```

#### AMI
0 → 0 V. The 1s are half-width pulses of alternating polarity: + − + − + −.

**AMI (RZ)**

```text
    1   0   0   1   1   0   1   1   0   1  
+V ──|             |─|         |─|         
 0   |─────────| |─| |─────| |─| |─────| |─
-V             |─|         |─|         |─| 
```

#### Manchester
1 → +V then −V, 0 → −V then +V. There is a transition at every mid-bit.

**Manchester**

```text
    1   0   0   1   1   0   1   1   0   1  
+V ──|   |─| |───| |─|   |───| |─|   |───| 
-V   |───| |─|   |─| |───|   |─| |───|   |─
```

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. How does unipolar NRZ send a 0?
   A. 0 V for the full bit
   B. Half-bit pulse
   C. -V
   D. Alternating pulse
   Answer: A. Unipolar NRZ sends +V for the full bit for 1 and 0 V for 0. (Key point: Unipolar NRZ)

2. For 1001101101 (six 1s), the AMI pulses are:
   A. - + - + - +
   B. + - - + + -
   C. + - + - + -
   D. + + + + + +
   Answer: C. AMI alternates polarity on each 1, so six 1s give + - + - + -. (Key point: AMI polarity)

3. Polar RZ returns to zero after:
   A. The full bit
   B. Never
   C. Half the bit for both 1 and 0
   D. Only for 1
   Answer: C. Both 1 (+V) and 0 (-V) last half the bit and then return to 0. (Key point: Polar RZ)

4. Why is Manchester useful for synchronisation?
   A. It uses one level
   B. It has no transitions
   C. Zero average and a transition in every bit
   D. It needs less bandwidth
   Answer: C. Every bit has a mid-bit transition, giving clock information. (Key point: Manchester timing)

## Close variants set in other exams

- [Line coding 1011001010 (polar NRZ, polar RZ, Manchester, AMI)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-1011001010) — Communication Systems, chapter 6, asked 8×
- [Line coding 1101010111 (polar NRZ, polar RZ, Manchester, AMI)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-1101010111-polar-ami) — Communication Systems, chapter 6, asked 8×
- [Line coding 10110101 (polar NRZ, unipolar RZ, AMI, Manchester)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-10110101) — Communication Systems, chapter 6, asked 8×
- [Line coding 1101010011 (polar NRZ, polar RZ, Manchester, AMI)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-1101010011) — Communication Systems, chapter 6, asked 8×
- [Line coding 1001001101 (polar NRZ, polar RZ, Manchester, AMI)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-1001001101) — Communication Systems, chapter 6, asked 8×

## Related in Communication Systems

- [Line coding 100111010 (Polar RZ, bipolar NRZ, AMI, Manchester)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-100111010) — Communication Systems, chapter 6
- [Line coding 1011000010000000001 (polar NRZ, AMI, Manchester)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-polar-ami-manchester-long) — Communication Systems, chapter 6, asked 2×
- [Definitions of unipolar, polar, bipolar, RZ, Manchester codes](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Adefine-line-codes) — Communication Systems, chapter 6, asked 2×
- [Line coding 110011000001 (unipolar RZ, Manchester, HDB3)](https://www.bctengineer.com/question.md?key=semester_6%2Fcommunication_systems%3Aline-codes-110011000001) — Communication Systems, chapter 6

## Related in other subjects

- [Line coding and NRZ, RZ, AMI](https://www.bctengineer.com/question.md?key=semester_8%2Ftelecommunications%3Aline-coding-nrz-rz-ami) — Telecommunications, chapter 3
- [Line coding: polar RZ and bipolar AMI](https://www.bctengineer.com/question.md?key=semester_5%2Fdata_communication%3Aline-coding-polar-rz-ami) — Data Communication, chapter 5
- [Encode 10101111000011 with NRZ, RZ, AMI, Manchester](https://www.bctengineer.com/question.md?key=semester_5%2Fdata_communication%3Aline-coding-10101111000011) — Data Communication, chapter 5
- [Encode 1101001 with polar NRZ, AMI, Manchester](https://www.bctengineer.com/question.md?key=semester_5%2Fdata_communication%3Aline-coding-1101001) — Data Communication, chapter 5, asked 3×
