How to convert octal to hex?

Octal to 3-bit binary, regroup in 4 bits

Convert (524)₈ to hexadecimal

Short answer

Write octal 524 as 3-bit binary groups: 101 010 100₂. Regroup into 4-bit nibbles: 0001 0101 0100₂, which is (154)₁₆.

Convert (524)₈ = (?)₁₆.

Convert octal to binary (3 bits per digit), then regroup in 4 bits from the right.

5 = 101, 2 = 010, 4 = 100 → $(101\ 010\ 100)_2$

Regroup: $0001\ 0101\ 0100$ → 1 5 4

Check: $(524)_8 = 5\times64 + 2\times8 + 4 = 340$ , and $(154)_{16} = 256 + 80 + 4 = 340$ .

Answer: $(524)_8 = (154)_{16}$

✓ Answer checked by Claude Opus 5.5 (high effort)