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HMMT 十一月 2009 · 冲刺赛 · 第 7 题

HMMT November 2009 — Guts Round — Problem 7

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 7 ] A computer program is a function that takes in 4 bits, where each bit is either a 0 or a 1, andoutputs TRUE or FALSE. How many computer programs are there?
解析

英文解析

  1. [ 7 ] A computer program is a function that takes in 4 bits, where each bit is either a 0 or a 1, andoutputs TRUE or FALSE. How many computer programs are there?
    Answer: 65536 The function has 2 inputs and 2 outputs for each possible input, so the answer is 4
    2 164
    2 = 2 = 65536.