Question

Convert a hexadecimal no. system (3E.4F6)16 into a decimal no. system.

Answer 1

Explanation:

converting to binary

using 2^n rule where

n = 0 1 2 3

2^n = 8 4 2 1

3 = 0 0 1 1

E = 1 1 1 0

4 = 0 1 0 0

F = 1 1 1 1

6 = 0 1 1 0

= 111110010011110110

converting into decimal

= 1×2^17+1×2^16+1×2^15+1×2^14+1×2^13+0×2^12+0×2^11+1×2^10+0×2^9+0×2^8+1×2^7+1×2^6+1×2^5+1×2^4+0×2^3+1×2^2+1×2^1+0×2^0

= 131072+65536+32768+16384+8192+1024+128+64+32+16+4+2

= 255222

.•. (3E4F6)=255222