Convert the binary number 101101 to hexadecimal.

Group the Binary Digits:

Group the binary number into groups of four digits from right to left. If the last group has fewer than four digits, pad it with zeros on the left.

1. Binary: 101101

2. Grouped: 0010 | 1101

3. Convert Each Group to Hexadecimal:

Group 1: 0010

Binary to Decimal: 0×23+0×22+1×21+0×20=0+0+2+0=20 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 0 \times 2^0 = 0 + 0 + 2 + 0 = 20×23+0×22+1×21+0×20=0+0+2+0=2

Decimal to Hexadecimal: 2 in hexadecimal is 2.

Group 2: 1101

Binary to Decimal: 1×23+1×22+0×21+1×20=8+4+0+1=131 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 8 + 4 + 0 + 1 = 131×23+1×22+0×21+1×20=8+4+0+1=13

Decimal to Hexadecimal: 13 in hexadecimal is D.

Combine Hexadecimal Digits:

Combine the hexadecimal digits obtained from each group, starting from left to right.

Hexadecimal: 2D

The binary number 101101 converts to the hexadecimal number 2D.