How to resolve the algorithm Truth table step by step in the Racket programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Truth table step by step in the Racket programming language
Table of Contents
Problem Statement
A truth table is a display of the inputs to, and the output of a Boolean function organized as a table where each row gives one combination of input values and the corresponding value of the function.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Truth table step by step in the Racket programming language
Source code in the racket programming language
#lang racket
(define (collect-vars sexpr)
(sort
(remove-duplicates
(let loop ([x sexpr])
(cond [(boolean? x) '()]
[(symbol? x) (list x)]
[(list? x) (append-map loop (cdr x))]
[else (error 'truth-table "Bad expression: ~e" x)])))
string<? #:key symbol->string))
(define ns (make-base-namespace))
(define (truth-table sexpr)
(define vars (collect-vars sexpr))
(printf "~a => ~s\n" (string-join (map symbol->string vars)) sexpr)
(for ([i (expt 2 (length vars))])
(define vals
(map (λ(x) (eq? #\1 x))
(reverse (string->list (~r i #:min-width (length vars)
#:pad-string "0"
#:base 2)))))
(printf "~a => ~a\n" (string-join (map (λ(b) (if b "T" "F")) vals))
(if (eval `(let (,@(map list vars vals)) ,sexpr) ns) "T" "F"))))
(printf "Enter an expression: ")
(truth-table (read))
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