Answer:
95
Step-by-step explanation:
1. First, the binary to decimal formula is:
- decimal = [tex]d_0*2^0 + d_1 *2^1 + d+2*2^2+..[/tex]
2. Now, let's apply it:
- [tex](1011111 )_2= (1 *2^6) + (0 *2^5) + (1*2^4) + (1*2^3) + (1 *2^2) + (1 *2^1) + (1*2^0)[/tex]
- [tex]1(64) + 0(32) + 1(16)+1(8)+1(4)+1(2)+1(1)[/tex]
- [tex]64 + 0 + 16 + 8 + 4 + 2 + 1[/tex]
- [tex]80 + 8 + 4 + 2 + 1[/tex]
- [tex]88 + 4 + 2 + 1[/tex]
- [tex]92 + 2 + 1[/tex]
- [tex]94 + 1[/tex]
- [tex]95[/tex]
Therefore, the answer is 95.
