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Line coding 1011001010 (polar NRZ, polar RZ, Manchester, AMI)

Short answer

Polar NRZ: + - + + - - + - + -. Polar RZ: +0 -0 +0 +0 -0 -0 +0 -0 +0 -0. Manchester: +- -+ +- +- -+ -+ +- -+ +- -+. AMI: + 0 - + 0 0 - 0 + 0 (1s alternate).

Given the binary sequence 1011001010 represent it in Polar NRZ, Polar RZ, Manchester and AMI codes.

Bit sequence: 1 0 1 1 0 0 1 0 1 0, bit period TbT_b, levels ±V\pm V. Each bit is 4 characters wide in the drawings.

Conventions used: Manchester sends 1 as a +V half followed by a −V half, and 0 as −V then +V (Lathi/Haykin; the IEEE 802.3 convention is the opposite). AMI sends alternate 1s as half-width +V and −V pulses, starting with +V, and 0 as no pulse.

Polar NRZ (1 → +V, 0 → −V, full bit)

    1   0   1   1   0   0   1   0   1   0  
+V ────|   |───────|       |───|   |───|   
-V     |───|       |───────|   |───|   |───

Polar RZ (1 → +V, 0 → −V, for half bit, then 0)

    1   0   1   1   0   0   1   0   1   0  
+V ──|     |─| |─|         |─|     |─|     
 0   |─| |─| |─| |─| |─| |─| |─| |─| |─| |─
-V     |─|         |─| |─|     |─|     |─| 

Manchester

    1   0   1   1   0   0   1   0   1   0  
+V ──|   |───| |─|   |─| |───|   |───|   |─
-V   |───|   |─| |───| |─|   |───|   |───| 

AMI (bipolar RZ)

    1   0   1   1   0   0   1   0   1   0  
+V ──|         |─|                 |─|     
 0   |─────| |─| |─────────| |─────| |─────
-V         |─|             |─|             

AMI pulse polarities for the 1s: + − + − + (the 0s are 0).

✓ Answer checked by Claude Opus 5.5 (high effort)

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